What is factor x^2-48x+576 ?

The solution to factor x^2-48x+576 is (x-24)^2

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factor x^2-48x+576

factor

x^{2} - 48 x + 576

(x - 24)^{2}

Solution steps

x^{2} - 48 x + 576

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

576 = 2 4^{2}

- 48 x = - 2 x \cdot 24

= x^{2} - 2 x \cdot 24 + 2 4^{2}

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

x^{2} - 2 x \cdot 24 + 2 4^{2} = (x - 24)^{2}

= (x - 24)^{2}

4 x^{2} = 72

4 x - 2 = x + 9

(0 - 1)^{2} + (y - (- 2))^{2} = 2^{2}

\frac{1}{2} + \frac{3}{1}